Math 8 Module 5 Notes
Grade 8 MathUnit 1 – Square Roots & Pythagorean TheoremLesson 1 8.N.1 - Square Roots and Perfect Squares Investigation - Work with a partner.Materials: You will need grid paper, pencil crayons, and 20 cubes.Instructions: Use the cubes to make as many different rectangles as youcan with each area.4 square units12 square units6 square units16 square units8 square units20 square units9 square unitsDraw the rectangles on your grid paper.Questions:For which of the areas above were you able to make a square?4, 9, and 16 square unitsWhat is the side length for each square you made?2, 3, and 4How is the side length of a square related to its area?In order to get a square, the side lengths had to be the same. Not all of the areas can produce a square.VocabularySquared: The process of multiplying a number by itself. Ex: “6 squared” means 6 x 6 = 62 = 36Square Root: A number which, when multiplied by itself, results in a given number.Ex: The square root of 16 is 4Ex: Find the square root of 100. 100=10Perfect Squares: are numbers whose square roots are whole numbersEx: State whether the following are perfect squares or not. 4=2, therefore 4 is a perfect square. 7=2.645…., therefore 7 is not a perfect square. Ex: Complete the following list of perfect squares. 1= 136 = 64= 249 = 79= 364 = 816= 481 = 925= 5100 = 10Ex: Show that 49 is a square number. Use a diagram, symbols, and words.156337018415000 Answer:49 = 7x7 = 72 Forty-nine is seven squared.AssignmentDo #1-12, 16 & 19 p. 8Grade 8 MathUnit 1 – Square Roots & Pythagorean TheoremStudent CopyLesson 1 8.N.1 - Square Roots and Perfect Squares Investigation - Work with a partner.Materials: You will need grid paper, pencil crayons, and 20 cubes.Instructions: Use the cubes to make as many different rectangles as youcan with each area.4 square units12 square units6 square units16 square units8 square units20 square units9 square unitsDraw the rectangles on your grid paper.Questions:For which of the areas above were you able to make a square?What is the side length for each square you made?How is the side length of a square related to its area?VocabularySquared: The process of multiplying a number by ________________. Ex: “6 squared” means ________________________Square Root: A number which, when multiplied by ________________, results in a given number.Ex: The square root of 16 is ____Ex: Find the square root of 100. Perfect Squares: are numbers whose square roots are ____________ numbers.Ex: State whether the following are perfect squares or not.a) 4b) 7Ex: Complete the following list of perfect squares. 1= ___36 = ___4= ___49 = ___9= ___64 = ___16= ___81 = ___25= ___100 = ___Ex: Show that 49 is a square number. Use a diagram, symbols, and words. AssignmentDo #1-12, 16 & 19 p. 8 ................
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